document.write( "Question 1207563: If x + y is equals to 4 find maximum or minimum
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Algebra.Com's Answer #845509 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let V = the value that we want to maximize or minimize\r\n" );
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document.write( "\"V\"\"%22%22=%22%22\"\"x%5E2%2By%5E2\", where \"x%2By\"\"%22%22=%22%22\"\"4\" or \"y=4-x\"\r\n" );
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document.write( "\"V\"\"%22%22=%22%22\"\"x%5E2%2B%284-x%29%5E2\"\r\n" );
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document.write( "\"V\"\"%22%22=%22%22\"\"x%5E2%2B%2816-8x%2Bx%5E2%29\"\r\n" );
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document.write( "\"V\"\"%22%22=%22%22\"\"2x%5E2-8x%2B16%29\"\r\n" );
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document.write( "That is a parabola opening upward, so it has a minimum value but no maximum\r\n" );
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document.write( "Use the vertex formula to find the x-coordinate of the minimum point:\r\n" );
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document.write( "\"-b%2F%282a%29\"\"%22%22=%22%22\"\"-%28-8%29%2F%282%2A2%29=2\"\r\n" );
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document.write( "Substituting in \r\n" );
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document.write( "\"V%5Bmin%5D\"\"%22%22=%22%22\"\"2%282%29%5E2-8%282%29%2B16%29\"\"8\"\r\n" );
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document.write( "So the minimum value is 8, which occurs when x=2, and y = 4-x = 4-2 = 2.\r\n" );
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document.write( "Edwin
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